Regression works in determining the equation of a line that represents a scatter

Question

Regression works in determining the equation of a line that represents a scatter plot by

Select one:

a. Yielding the line that has the smallest intercept value

b. Yielding the line that best describes the relationship for points beyond the data set

c. Yielding the line with the smallest squared errors (or squared distances from the data points to the line)

d. Yielding the line that explains all of the variation in Y

n regression, the p-value of a regression coefficient results from

Select one:

a. The use of an F-test

b. The t-value of a hypothesis test that the coefficient is zero

c. The calculation of Pearson’s r

d. Calculation of the R2

In regression, the p-value of a coefficient is significant when it is

Select one:

a. Greater than zero

b. Less than 1

c. Less than alpha

d. Less than 2

In regression, the F-test allows you to determine

Select one:

a. The significance of the overall regression equation

b. The proportion or percent of the variation in X that is explained by the equation

c. The value of the error term

d. The reliability of each B coefficient

Explanation / Answer

1) option c is the right answer.: when we have a scatter plot of the data then the straight line that passes through them is used to forecast the value of dependent variable for some value of a given variable. that prediction is best of the line is such that it minimizes the squared distance from each plotted point. such a line is obtained by principle of last square.

2)option b

3) option c

explanation of question 2and 3

p-value is studied for a t statistic. means by which we can realize if an estimated parameter is significant or not. for that we set up a null hypothesis that parameter (coefficient) is zero and use t statistic from the sample mean.a small p value indicates that null hypothesis may be rejected. it means coefficient is significant in the model. for a 99 % confidence, p value should be less than 0.01(alpha) .and for a 95% confidence p-value should be less than 0.05(alpha)

4) option a:

for testing significance of a single coefficient, we use t statistic. but to simultaneously test significance of all coefficients together we use f statistic.

thank you.

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.